Yakubovich's oscillatority of circadian oscillations models.
The testing procedure of Yakubovich's oscillatority property is presented. The procedure is applied for two models of circadian oscillations [J.C. Leloup, A. Goldbeter, A model for circadian rhythms in Drosophila incorporating the formation of a complex between the PER and TIM proteins, J. Biol. Rhythms, 13 (1998) 70-87; J.C. Leloup, D. Gonze, A. Goldbeter, Limit cycle models for circadian rhythms based on transcriptional regulation in Drosophila and Neurospora. J. Biol. Rhythms, 14 (1999) 433-448]. Analytical conditions of these models oscillatority are established and bounds on oscillation amplitude are calculated.
Efimov
Denis V
DV
Control of Complex Systems Laboratory, Institute of Problem of Mechanical Engineering, Bolshoi Avenue, 61, V.O., St-Petersburg 199178, Russia. efde@mail.ru
Fradkov
Alexander L
AL
D000818:Animals; D002940:Circadian Rhythm / Q000502:physiology*; D004330:Drosophila / Q000502:physiology; D008954:Models, Biological; D009491:Neurospora / Q000502:physiology